How i can bake the entire cloth simulation to shape keys?
If you do "Apply as Shape Key" it will create a snapshot of the vertex positions from where you are on the timeline as save that as a shape key. The shape key have no animation data. It interpolates from the base shape key to the cloth shape key linearly. That is, if you place the Value on the Cloth shape key on 0.5, each vertex point will be in between the Base and the Cloth.